Question

The radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate?​

Answer 1

Answer:

The ratio gives us the number of Earth's can be accommodated in Jupiter. Therefore, the ratio of the volumes of Jupiter and the Earth are 1:1331 . Therefore 1331 Earths can be accommodated in Jupiter. Hence, option (A) is correct.

Answer 2

Answer:

$\large\star{\sf{1: 11}}$

$\large\underline{\sf{11 \: earth}}$

Explanation:

Given

The radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate?

$\large\underline{\sf{Solution \rightarrow 1}}$

$\large\underline{\sf{Volume \: of \: sphere= \frac{4}{3} \pi {r}^{3} }}$

$\large\underline{\sf{So}}$

$\large\underline{\sf{Volume \: of \: earth= \frac{4}{3}\pi {r}^{3} }}$

$\large\underline{\sf{Volume \: of \: Jupiter = \frac{4}{3}\pi {11r}^{3} }}$

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